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Chapter 7: Q21. (page 350)

State the degree and leading coefficient of polynomial c2+c-1c in one variable. If it is not a polynomial in one variable, explain why.

Short Answer

Expert verified

The given polynomial is not a polynomial because a polynomial can never contain negative exponent in it.

Step by step solution

01

Step 1. Write down the given information.

The given polynomial is c2+c-1c.

02

Step 2. Calculation.

Re-arranging the given polynomial c2+c-1c in descending order of degree, the polynomial can be written as c2+c-c-1.

Now, the polynomial c2+c-c-1 can-not have a negative exponent in its expression. Therefore, the given polynomial c2+c-1c is not a polynomial.

03

Step 3. Conclusion.

The given polynomial is not a polynomial because a polynomial can never contain negative exponent in it.

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